I also made a larger thermal exhaust port tile. The port is exactly the same as the first one I made, but it has a larger surrounding area with extensive panel lines. 40mm x 40mm.
I have used .060" in the cutter, but I haven't cut all the way through - I only cut tile blanks on it, which are all in straight lines that make it pretty easy to score & snap. For up to .030" I have been able to cut all the way through, which is needed for the tiny complex shapes I tend to come up with. I use Cricut's "knife blade" accessory, which is meant for heavier materials. it's not fast -- it takes up to a dozen or so passes.A question about your Cricut Maker cutter - do you actually cut the .060" styrene on it? How do you do it? How many times do you have to repeat the cutting process? I have an older Silhouette Cameo and can barely cut .010". I have also been looking to upgrade to a Cameo 4+, which is supposed to be able to cut up to 3mm material, but I am skeptical.